Please use this identifier to cite or link to this item:
|Title:||A fractional calculus of variations for multiple integrals with application to vibrating string|
|Publisher:||American Institute of Physics (AIP)|
|Abstract:||We introduce a fractional theory of the calculus of variations for multiple integrals. Our approach uses the recent notions of Riemann-Liouville fractional derivatives and integrals in the sense of Jumarie. The main results provide fractional versions of the theorems of Green and Gauss, fractional Euler-Lagrange equations, and fractional natural boundary conditions. As an application we discuss the fractional equation of motion of a vibrating string. © 2010 American Institute of Physics.|
|Appears in Collections:||MAT - Artigos|
Files in This Item:
|A Fractional Calculus of Variations for Multiple Integrals.pdf||143.56 kB||Adobe PDF||View/Open|
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.